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Finding the Third Proportional to 71,691.75 and 151,922.25

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Solution

The third proportional to 71,691.75 and 151,922.25 is: 321,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,691.75 : 151,922.25 = 151,922.25 : x
  2. Step 2: Convert to fraction form
    71,691.75/151,922.25 = 151,922.25/x
  3. Step 3: Cross multiply
    71,691.75x = 151,922.25 × 151,922.25
  4. Step 4: Simplify right side
    71,691.75x = 23,080,370,045.06
  5. Step 5: Solve for x
    x = 23,080,370,045.06/71,691.75
  6. Step 6: Final answer
    x = 321,939.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.